RIMS 共同研究 (公開型)
超局所解析と漸近解析
研究代表者: 岡田靖則 (千葉大) 副代表者: 本多尚文(北大),山崎晋 (日大) 2017年10月16日(月) ∼ 20日(金) 京都大学数理解析研究所 111号室 プログラム October 16, Monday10:00 - 10:50 Toshinori Takahashi (Kindai University)
The confluent hypergeometric function and WKB solutions 11:10 - 12:00 Shofu Uchida (Kindai University)
Linear continuous operators acting on the space of entire functions of a given order 13:40 - 14:30 Kunio Ichinobe (Aichi University of Education)
Experimental observation on k-summability of divergent solutions of the heat equa-tion with k > 1
(a joint work with M. Miyake) 14:50 - 15:40 Yumiko Takei (Kobe University)
On expressions of Voros coefficients for hypergeometric differential equations in terms of the topological recursion
16:00 - 16:50 Takashi Aoki (Kindai University)
Exact WKB analysis of the Gauss hypergeometric function
October 17, Tuesday
10:00 - 10:50 Yasunori Okada (Chiba University)
On the solvability of a coupling equation for PDEs of Briot-Bouquet type 11:10 - 12:00 Susumu Yamazaki (Nihon University)
Nearby and Vanishing Cycles of Fuchsian D-Modules 13:40 - 14:30 Keisuke Uchikoshi (National Defense Academy)
Singularities of gravity water waves
14:50 - 15:40 Kiyoomi Kataoka (the University of Tokyo)
Some remarks on Hayato Chiba’s theory about Kuramoto conjecture 16:00 - 16:50 Tatsuo Suwa (Hokkaido University)
Relative Dolbeault cohomology and Sato hyperfunctions
October 18, Wednesday
10:00 - 10:50 Kohei Umeta (Nihon University)
Laplace hyperfunctions from the viewpoint of ˇCech-Dolbeault cohomology (a joint work with N. Honda)
11:10 - 12:00 Naofumi Honda (Hokkaido University)
Application of the theory of ˇCech-Dolbeault cohomology to operations on hyper-functions
(a joint work with T. Izawa and T. Suwa) 13:40 - 14:30 Joe Kamimoto (Kyushu University)
Failure of meromorphy for local zeta functions
14:50 - 15:40 Sampei Hirose (Shibaura Institute of Technology), Takahiro Kawai (RIMS) and Yoshitsugu Takei (Doshisha University)
On virtual turning points originating from a non-hereditary turning point 16:00 - 16:50 Yoshitsugu Takei (Doshisha University)
Some recent topics in the exact WKB analysis related to the exact steepest descent method
October 19, Thursday
10:00 - 10:50 Jun Yamamoto (Shibaura Institute of Technology) and Hiroshi Yamazawa (Shibaura Institute of Technology)
q-analogue of a system of equation from geometry 11:10 - 12:00 Hidetoshi Tahara (Sophia University)
Some examples of the Borel summability of formal solutions of linear partial differ-ential equations
13:40 - 14:30 Masafumi Yoshino (Hiroshima University)
Movable Singularity of Hamiltonian System and Blowup of Semi linear Wave Equa-tion
14:50 - 15:40 Saiei-Jaeyeong Matsubara-Heo (the University of Tokyo)
On Laplace and Euler integral representations of GKZ hypergeometric functions 16:00 - 16:50 Toshio Oshima (Josai University)
Transformation of KZ type equations
October 20, Friday
10:00 - 10:50 Naoto Kumano-go (Kogakuin University)
Phase space Feynman path integrals of parabolic type with functional derivatives 11:10 - 12:00 Takeshi Morita (Osaka University)
On some divergent bilateral basic hypergeometric series and connection formulae 13:40 - 14:30 Toshinori Oaku (Tokyo Woman’s Christian University)
An attempt to compute holonomic systems for Feynman integrals in two-dimensional space-time
14:50 - 15:40 Shinichi Tajima (University of Tsukuba)
A method for computing generic Lˆe numbers associated with hypersurface non-isolated singularities
本共同研究はJSPS科研費JP16K05170, JP15K04887, JP15K04908の助成を受けてい ます.
